diff --git a/methods/__pycache__/fit_linear_regression_model.cpython-310.pyc b/methods/__pycache__/fit_linear_regression_model.cpython-310.pyc index 2ef69ac..a682eac 100644 Binary files a/methods/__pycache__/fit_linear_regression_model.cpython-310.pyc and b/methods/__pycache__/fit_linear_regression_model.cpython-310.pyc differ diff --git a/trackinglosses_endVelo_momEff.ipynb b/trackinglosses_endVelo_momEff.ipynb new file mode 100644 index 0000000..669bcdc --- /dev/null +++ b/trackinglosses_endVelo_momEff.ipynb @@ -0,0 +1,156 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "import uproot\t\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from mpl_toolkits import mplot3d\n", + "import awkward as ak\n", + "from scipy.optimize import curve_fit\n", + "from methods.fit_linear_regression_model import fit_linear_regression_model\n", + "import sklearn\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "298 72\n", + "370\n" + ] + } + ], + "source": [ + "file = uproot.open(\n", + " \"tracking_losses_ntuple_test_endVelo_momEff.root:PrDebugTrackingLosses.PrDebugTrackingTool/Tuple;1\"\n", + ")\n", + "\n", + "# selektiere nur elektronen von B->K*ee\n", + "allcolumns = file.arrays()\n", + "found = allcolumns[\n", + " (allcolumns.isElectron) & (~allcolumns.lost) & (allcolumns.fromB)\n", + "] # B: 9056\n", + "lost = allcolumns[\n", + " (allcolumns.isElectron) & (allcolumns.lost) & (allcolumns.fromB)\n", + "] # B: 1466\n", + "\n", + "electrons = allcolumns[(allcolumns.isElectron) & (allcolumns.fromB)]\n", + "\n", + "print(ak.num(found, axis=0), ak.num(lost, axis=0))\n", + "print(ak.num(electrons, axis=0))\n", + "# ak.count(found, axis=None)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "stretch factor: 0.24161073825503357\n" + ] + } + ], + "source": [ + "rad_length_found = ak.to_numpy(found[\"rad_length_frac\"])\n", + "eta_found = ak.to_numpy(found[\"eta\"])\n", + "rad_length_lost = ak.to_numpy(lost[\"rad_length_frac\"])\n", + "eta_lost = ak.to_numpy(lost[\"eta\"])\n", + "\n", + "stretch_factor = ak.num(eta_lost, axis=0) / ak.num(eta_found, axis=0)\n", + "print(\"stretch factor: \", stretch_factor)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "endVeloP_found = ak.to_numpy(found[\"ideal_state_770_p\"])\n", + "trueP_found = ak.to_numpy(found[\"p\"])\n", + "nbins = 50\n", + "vmax = 5\n", + "\n", + "a0 = plt.hist2d(\n", + " trueP_found,\n", + " endVeloP_found,\n", + " density=False,\n", + " bins=nbins,\n", + " cmap=plt.cm.jet,\n", + " cmin=1,\n", + " vmax=vmax,\n", + " range=[[0, 30000], [0, 30000]],\n", + ")\n", + "# plt.plot([-0.1, 1.0], [-0.1, 1.0], marker=\"\", alpha=0.8)\n", + "plt.xlabel(f\"True $P$\")\n", + "plt.ylabel(f\"endVelo $P$\")\n", + "plt.title(f\"found P\")\n", + "# ax1.set(xlim=(0,4000), ylim=(-1000,1000))\n", + "\n", + "plt.colorbar(a0[3])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "tuner", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/trackinglosses_rad_length_beginVelo.ipynb b/trackinglosses_rad_length_beginVelo.ipynb index 5491d8c..f0cea59 100644 --- a/trackinglosses_rad_length_beginVelo.ipynb +++ b/trackinglosses_rad_length_beginVelo.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 24, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ @@ -20,7 +20,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -55,7 +55,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -81,7 +81,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -128,7 +128,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -185,9 +185,32 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameterisation for rad_length_frac:\n", + "intercept= 0.0\n", + "coef= {'1': 0.4397780582886272, 'x': -0.00033503537608265674, 'y': -4.789321464958182e-05, 'tx': 0.29235639572920724, 'ty': 0.04582618208302177, 'qop': -6.415064049320476, 'x^2': -1.7148780985188313e-05, 'x y': 6.213092137729638e-05, 'x tx': 0.0357792373581695, 'x ty': -0.03383507316198001, 'x qop': 5.411983741236269, 'y^2': -0.0001816058133305051, 'y tx': -0.060157737422332554, 'y ty': 0.3005860193729231, 'y qop': -0.5258168180545822, 'tx^2': -20.581151289333324, 'tx ty': 33.044369657406456, 'tx qop': -4029.9409136973454, 'ty^2': -125.62371943789807, 'ty qop': 353.08874965548245, 'qop^2': -3.455196781164501, 'x^3': 1.5371780097645036e-07, 'x^2 y': -1.2426481494632311e-06, 'x^2 tx': -0.0003102207951011151, 'x^2 ty': 0.0008294673378711963, 'x^2 qop': -0.0013130710648701907, 'x y^2': 1.3249247615395102e-07, 'x y tx': 0.0018733641082853674, 'x y ty': 0.0011459295349262105, 'x y qop': 0.0019703515773188207, 'x tx^2': 0.20678893428535178, 'x tx ty': -1.2036256002683805, 'x tx qop': 0.5976253324202965, 'x ty^2': -1.0782570211818505, 'x ty qop': 102.9459912574048, 'x qop^2': -399.16918894718305, 'y^3': 6.233244675968308e-07, 'y^2 tx': -0.0013994133271424403, 'y^2 ty': -0.001494031769823323, 'y^2 qop': 0.000739172959467016, 'y tx^2': -0.7290175680182052, 'y tx ty': 1.243439836769458, 'y tx qop': -105.55527881418587, 'y ty^2': 1.1837378224511292, 'y ty qop': -0.7657500120637686, 'y qop^2': 337.9089334089693, 'tx^3': -46.002810282557306, 'tx^2 ty': 453.57769058127064, 'tx^2 qop': -38.01772137810428, 'tx ty^2': -37.626648454968965, 'tx ty qop': 1.8221207378503694, 'tx qop^2': -0.40208255096589585, 'ty^3': -309.9803925733283, 'ty^2 qop': 15.736234283455065, 'ty qop^2': 0.6119680938280082, 'qop^3': -0.0011848472786331894, 'x^4': 1.4258219493967772e-08, 'x^3 y': -2.866883619390137e-09, 'x^3 tx': -4.622450717306492e-05, 'x^3 ty': -9.82760022623097e-05, 'x^3 qop': -0.0003703064328215433, 'x^2 y^2': -2.5736142106325133e-09, 'x^2 y tx': 0.00010255319807583874, 'x^2 y ty': 4.727919866809316e-05, 'x^2 y qop': -0.0006108544453127251, 'x^2 tx^2': 0.0554175462089006, 'x^2 tx ty': 0.16472559466997527, 'x^2 tx qop': 0.4783758545936343, 'x^2 ty^2': -0.029491297111002623, 'x^2 ty qop': 0.4072459238308874, 'x^2 qop^2': 1.274082272606741, 'x y^3': 1.019856199491187e-08, 'x y^2 tx': -4.0220230914655986e-05, 'x y^2 ty': -7.807169754414645e-05, 'x y^2 qop': 0.0009660222713137046, 'x y tx^2': -0.1655492341343554, 'x y tx ty': -0.026431127204681104, 'x y tx qop': 0.6220634937641649, 'x y ty^2': 0.09539033507193473, 'x y ty qop': -1.5617368820840163, 'x y qop^2': 9.235370076473936, 'x tx^3': -29.04572443637665, 'x tx^2 ty': -68.28508620169197, 'x tx^2 qop': -138.17259913877646, 'x tx ty^2': 35.45859347871301, 'x tx ty qop': -273.5835489656032, 'x tx qop^2': -13.43661305575325, 'x ty^3': -32.63704432223729, 'x ty^2 qop': 266.4268072225656, 'x ty qop^2': -19.06231959583929, 'x qop^3': 1.7675392248918753, 'y^4': -5.9619367220875574e-09, 'y^3 tx': 5.3697276143793715e-05, 'y^3 ty': 1.6576491020714457e-05, 'y^3 qop': -0.00017261869555795784, 'y^2 tx^2': 0.05014539344681879, 'y^2 tx ty': -0.07584181301500559, 'y^2 tx qop': -0.11650839062004614, 'y^2 ty^2': -0.015097852966895253, 'y^2 ty qop': 0.30517451156427916, 'y^2 qop^2': -6.650919392954738, 'y tx^3': 67.30430825382783, 'y tx^2 ty': -34.801544500318485, 'y tx^2 qop': -142.686910608299, 'y tx ty^2': 27.185653317937266, 'y tx ty qop': 439.1032304393983, 'y tx qop^2': -18.23933135674488, 'y ty^3': 4.265555264813383, 'y ty^2 qop': -131.08781810964697, 'y ty qop^2': 34.20534645433437, 'y qop^3': 0.11852127731033578, 'tx^4': 5649.699838454551, 'tx^3 ty': 329.9615549901753, 'tx^3 qop': -5.54031835759426, 'tx^2 ty^2': 584.460443200635, 'tx^2 ty qop': -0.7411483064667538, 'tx^2 qop^2': -0.03588219456135393, 'tx ty^3': 173.96226240131907, 'tx ty^2 qop': 1.0493642752682577, 'tx ty qop^2': -0.052660249222163585, 'tx qop^3': 0.001973073444663188, 'ty^4': 215.62061929608907, 'ty^3 qop': -0.5416245412488983, 'ty^2 qop^2': 0.09234573370962393, 'ty qop^3': 0.0002451739001199065, 'qop^4': 2.303474287996047e-05}\n", + "r2 score= 0.07032743800675567\n", + "RMSE = 0.1530771991719649\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "rad_length_frac = found[\"rad_length_frac\"]\n", "# @ z = 9400.mm or 770.mm\n", @@ -213,56 +236,16 @@ " \"tx\": slopex,\n", " \"ty\": slopey,\n", " \"qop\": qop,\n", - "})" - ] - }, - { - "cell_type": "code", - "execution_count": 30, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Parameterisation for rad_length_frac:\n", - "intercept= 0.0\n", - "coef= {'1': 0.4397780582886272, 'x': -0.00033503537608265674, 'y': -4.789321464958182e-05, 'tx': 0.29235639572920724, 'ty': 0.04582618208302177, 'qop': -6.415064049320476, 'x^2': -1.7148780985188313e-05, 'x y': 6.213092137729638e-05, 'x tx': 0.0357792373581695, 'x ty': -0.03383507316198001, 'x qop': 5.411983741236269, 'y^2': -0.0001816058133305051, 'y tx': -0.060157737422332554, 'y ty': 0.3005860193729231, 'y qop': -0.5258168180545822, 'tx^2': -20.581151289333324, 'tx ty': 33.044369657406456, 'tx qop': -4029.9409136973454, 'ty^2': -125.62371943789807, 'ty qop': 353.08874965548245, 'qop^2': -3.455196781164501, 'x^3': 1.5371780097645036e-07, 'x^2 y': -1.2426481494632311e-06, 'x^2 tx': -0.0003102207951011151, 'x^2 ty': 0.0008294673378711963, 'x^2 qop': -0.0013130710648701907, 'x y^2': 1.3249247615395102e-07, 'x y tx': 0.0018733641082853674, 'x y ty': 0.0011459295349262105, 'x y qop': 0.0019703515773188207, 'x tx^2': 0.20678893428535178, 'x tx ty': -1.2036256002683805, 'x tx qop': 0.5976253324202965, 'x ty^2': -1.0782570211818505, 'x ty qop': 102.9459912574048, 'x qop^2': -399.16918894718305, 'y^3': 6.233244675968308e-07, 'y^2 tx': -0.0013994133271424403, 'y^2 ty': -0.001494031769823323, 'y^2 qop': 0.000739172959467016, 'y tx^2': -0.7290175680182052, 'y tx ty': 1.243439836769458, 'y tx qop': -105.55527881418587, 'y ty^2': 1.1837378224511292, 'y ty qop': -0.7657500120637686, 'y qop^2': 337.9089334089693, 'tx^3': -46.002810282557306, 'tx^2 ty': 453.57769058127064, 'tx^2 qop': -38.01772137810428, 'tx ty^2': -37.626648454968965, 'tx ty qop': 1.8221207378503694, 'tx qop^2': -0.40208255096589585, 'ty^3': -309.9803925733283, 'ty^2 qop': 15.736234283455065, 'ty qop^2': 0.6119680938280082, 'qop^3': -0.0011848472786331894, 'x^4': 1.4258219493967772e-08, 'x^3 y': -2.866883619390137e-09, 'x^3 tx': -4.622450717306492e-05, 'x^3 ty': -9.82760022623097e-05, 'x^3 qop': -0.0003703064328215433, 'x^2 y^2': -2.5736142106325133e-09, 'x^2 y tx': 0.00010255319807583874, 'x^2 y ty': 4.727919866809316e-05, 'x^2 y qop': -0.0006108544453127251, 'x^2 tx^2': 0.0554175462089006, 'x^2 tx ty': 0.16472559466997527, 'x^2 tx qop': 0.4783758545936343, 'x^2 ty^2': -0.029491297111002623, 'x^2 ty qop': 0.4072459238308874, 'x^2 qop^2': 1.274082272606741, 'x y^3': 1.019856199491187e-08, 'x y^2 tx': -4.0220230914655986e-05, 'x y^2 ty': -7.807169754414645e-05, 'x y^2 qop': 0.0009660222713137046, 'x y tx^2': -0.1655492341343554, 'x y tx ty': -0.026431127204681104, 'x y tx qop': 0.6220634937641649, 'x y ty^2': 0.09539033507193473, 'x y ty qop': -1.5617368820840163, 'x y qop^2': 9.235370076473936, 'x tx^3': -29.04572443637665, 'x tx^2 ty': -68.28508620169197, 'x tx^2 qop': -138.17259913877646, 'x tx ty^2': 35.45859347871301, 'x tx ty qop': -273.5835489656032, 'x tx qop^2': -13.43661305575325, 'x ty^3': -32.63704432223729, 'x ty^2 qop': 266.4268072225656, 'x ty qop^2': -19.06231959583929, 'x qop^3': 1.7675392248918753, 'y^4': -5.9619367220875574e-09, 'y^3 tx': 5.3697276143793715e-05, 'y^3 ty': 1.6576491020714457e-05, 'y^3 qop': -0.00017261869555795784, 'y^2 tx^2': 0.05014539344681879, 'y^2 tx ty': -0.07584181301500559, 'y^2 tx qop': -0.11650839062004614, 'y^2 ty^2': -0.015097852966895253, 'y^2 ty qop': 0.30517451156427916, 'y^2 qop^2': -6.650919392954738, 'y tx^3': 67.30430825382783, 'y tx^2 ty': -34.801544500318485, 'y tx^2 qop': -142.686910608299, 'y tx ty^2': 27.185653317937266, 'y tx ty qop': 439.1032304393983, 'y tx qop^2': -18.23933135674488, 'y ty^3': 4.265555264813383, 'y ty^2 qop': -131.08781810964697, 'y ty qop^2': 34.20534645433437, 'y qop^3': 0.11852127731033578, 'tx^4': 5649.699838454551, 'tx^3 ty': 329.9615549901753, 'tx^3 qop': -5.54031835759426, 'tx^2 ty^2': 584.460443200635, 'tx^2 ty qop': -0.7411483064667538, 'tx^2 qop^2': -0.03588219456135393, 'tx ty^3': 173.96226240131907, 'tx ty^2 qop': 1.0493642752682577, 'tx ty qop^2': -0.052660249222163585, 'tx qop^3': 0.001973073444663188, 'ty^4': 215.62061929608907, 'ty^3 qop': -0.5416245412488983, 'ty^2 qop^2': 0.09234573370962393, 'ty qop^3': 0.0002451739001199065, 'qop^4': 2.303474287996047e-05}\n", - "r2 score= 0.07032743800675567\n", - "RMSE = 0.1530771991719649\n", - "Type \n" - ] - } - ], - "source": [ + "})\n", "lin_reg, features, xx0_test, xx0_predicted = fit_linear_regression_model(\n", " data,\n", " \"rad_length_frac\",\n", " [\"x\", \"y\", \"tx\", \"ty\", \"qop\"],\n", " 4,\n", " include_bias=True,\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ + ")\n", "nbins = 100\n", - "vmax = 40\n", + "vmax = 50\n", "\n", "a0 = plt.hist2d(\n", " xx0_test,\n", @@ -286,10 +269,88 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameterisation for rad_length_frac:\n", + "intercept= 0.0\n", + "coef= {'1': 0.4479234646536249, 'x': -0.0004084072172278079, 'y': -0.0004337281522268355, 'tx': 0.36162738714391346, 'ty': 0.3074416852772706, 'qop': 8.6879246998874, 'x^2': 6.870638463563449e-05, 'x y': -0.00012148333505099224, 'x tx': -0.08753632946361847, 'x ty': -0.008841630356866574, 'x qop': 2.3636302084612413, 'y^2': -0.00010231235440107948, 'y tx': 0.18497450621593262, 'y ty': 0.1675559125761048, 'y qop': -4.153708925054445, 'tx^2': 23.782917176875543, 'tx ty': -66.05577891519296, 'tx qop': -1451.879997584788, 'ty^2': -72.70407315466386, 'ty qop': 2811.440565472475, 'qop^2': 25.48376520289995, 'x^3': 3.312211575601438e-06, 'x^2 y': 4.1376174463449524e-06, 'x^2 tx': -0.007073302591271084, 'x^2 ty': -0.007343778680981201, 'x^2 qop': -0.010800896868279859, 'x y^2': -1.888730589918227e-06, 'x y tx': -0.0015500723141160817, 'x y ty': 0.003351080332733322, 'x y qop': -0.01735357445380728, 'x tx^2': 4.990549905339206, 'x tx ty': 7.558985701868668, 'x tx qop': 4.476707229937508, 'x ty^2': -1.104445169997775, 'x ty qop': -9.151537967253478, 'x qop^2': -910.3882764082207, 'y^3': -1.052533550094381e-06, 'y^2 tx': 0.0005507301794551722, 'y^2 ty': 0.002357501338451584, 'y^2 qop': 0.007420585610647734, 'y tx^2': -1.250712090046683, 'y tx ty': -1.5531355410763075, 'y tx qop': 19.84686939382025, 'y ty^2': -1.7462277992951187, 'y ty qop': -5.356037569819987, 'y qop^2': -279.7638120237527, 'tx^3': -1165.212129591651, 'tx^2 ty': -1478.3661751151212, 'tx^2 qop': 11.51188378893173, 'tx ty^2': 595.4188893174843, 'tx ty qop': 230.63755941369075, 'tx qop^2': -0.10882234534500138, 'ty^3': 429.2917082507941, 'ty^2 qop': -82.0662171571117, 'ty qop^2': -1.9459565902791414, 'qop^3': 0.024415724018080082, 'x^4': -1.475717681387323e-08, 'x^3 y': -8.159629061310625e-08, 'x^3 tx': 1.8736542919839394e-05, 'x^3 ty': 0.00021665972144546686, 'x^3 qop': 0.0006989376250565726, 'x^2 y^2': 2.718623193231906e-08, 'x^2 y tx': -2.4239682488769176e-05, 'x^2 y ty': -8.084108489470054e-05, 'x^2 y qop': -0.003167100608976625, 'x^2 tx^2': 0.008320473005383633, 'x^2 tx ty': -0.31099673106925607, 'x^2 tx qop': -0.9590579633902261, 'x^2 ty^2': -0.06873651193829033, 'x^2 ty qop': 5.972868443095723, 'x^2 qop^2': 8.034990024240143, 'x y^3': 4.6192553782020696e-08, 'x y^2 tx': 1.2378456318629105e-05, 'x y^2 ty': -5.5412774827345856e-05, 'x y^2 qop': -0.0013019927555433242, 'x y tx^2': 0.15448353292862294, 'x y tx ty': 0.2778324639753933, 'x y tx qop': -1.204014224641027, 'x y ty^2': 0.016434784323337226, 'x y ty qop': 2.818541810627377, 'x y qop^2': 8.034350363325663, 'x tx^3': -18.77883071123092, 'x tx^2 ty': 117.5404832475735, 'x tx^2 qop': 350.73626782625695, 'x tx ty^2': -43.39398761296841, 'x tx ty qop': -3601.6230380405145, 'x tx qop^2': -33.190862612375746, 'x ty^3': 0.3797357610145699, 'x ty^2 qop': -1234.3747950404918, 'x ty qop^2': 83.83558397109758, 'x qop^3': -5.702215445849627, 'y^4': -2.336150828341488e-09, 'y^3 tx': -4.0570866303824005e-05, 'y^3 ty': -2.348613449498771e-06, 'y^3 qop': 0.001158537918854563, 'y^2 tx^2': -0.1482288223321575, 'y^2 tx ty': 0.04527719555944287, 'y^2 tx qop': -1.0009453937475368, 'y^2 ty^2': 0.013540534251312408, 'y^2 ty qop': -1.6075747378736662, 'y^2 qop^2': -9.84256818846896, 'y tx^3': -69.10849756704471, 'y tx^2 ty': 21.121054597115727, 'y tx^2 qop': 1848.9215712994694, 'y tx ty^2': -9.234237076693203, 'y tx ty qop': 564.3519892221238, 'y tx qop^2': 68.38095505038116, 'y ty^3': -12.464249025545804, 'y ty^2 qop': 551.51219619504, 'y ty qop^2': 39.825100090236965, 'y qop^3': -1.0176409285192534, 'tx^4': 6221.962679980016, 'tx^3 ty': -3592.5750251228064, 'tx^3 qop': -27.664174751180994, 'tx^2 ty^2': 2731.878418172401, 'tx^2 ty qop': 13.736715296965578, 'tx^2 qop^2': -0.04199811775300766, 'tx ty^3': -2185.0268615440154, 'tx ty^2 qop': -15.049641135727613, 'tx ty qop^2': 0.13949642224427028, 'tx qop^3': -0.008320294336365015, 'ty^4': 3532.7413364811573, 'ty^3 qop': 24.266869324033923, 'ty^2 qop^2': 0.13092733573127732, 'ty qop^3': -0.0016184008383619774, 'qop^4': -0.00044028977350282306}\n", + "r2 score= 0.005485148161997189\n", + "RMSE = 0.27783626532276307\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rad_length_frac = lost[\"rad_length_frac\"]\n", + "# @ z = 9400.mm or 770.mm\n", + "state = 1\n", + "\n", + "if state == 1:\n", + " slopex = lost[\"ideal_state_770_tx\"]\n", + " slopey = lost[\"ideal_state_770_ty\"]\n", + " x = lost[\"ideal_state_770_x\"]\n", + " y = lost[\"ideal_state_770_y\"]\n", + " qop = lost[\"ideal_state_770_qop\"]\n", + "elif state == 2:\n", + " slopex = lost[\"ideal_state_9410_tx\"]\n", + " slopey = lost[\"ideal_state_9410_ty\"]\n", + " x = lost[\"ideal_state_9410_x\"]\n", + " y = lost[\"ideal_state_9410_y\"]\n", + " qop = lost[\"ideal_state_9410_qop\"]\n", + "\n", + "data = ak.zip({\n", + " \"rad_length_frac\": rad_length_frac,\n", + " \"x\": x,\n", + " \"y\": y,\n", + " \"tx\": slopex,\n", + " \"ty\": slopey,\n", + " \"qop\": qop,\n", + "})\n", + "lin_reg, features, xx0_test, xx0_predicted = fit_linear_regression_model(\n", + " data,\n", + " \"rad_length_frac\",\n", + " [\"x\", \"y\", \"tx\", \"ty\", \"qop\"],\n", + " 4,\n", + " include_bias=True,\n", + ")\n", + "\n", + "nbins = 100\n", + "vmax = 50\n", + "\n", + "a0 = plt.hist2d(\n", + " xx0_test,\n", + " xx0_predicted,\n", + " density=False,\n", + " bins=nbins,\n", + " cmap=plt.cm.jet,\n", + " cmin=1,\n", + " vmax=vmax * stretch_factor,\n", + " range=[[-0.1, 1.0], [-0.1, 1.0]],\n", + ")\n", + "plt.plot([-0.1, 1], [-0.1, 1], marker=\"\", alpha=0.8)\n", + "plt.xlabel(f\"True $x/X_0$\")\n", + "plt.ylabel(f\"Predicted $x/X_0$\")\n", + "plt.title(f\"lost rad_length_frac\")\n", + "# ax1.set(xlim=(0,4000), ylim=(-1000,1000))\n", + "\n", + "plt.colorbar(a0[3])\n", + "plt.show()" + ] }, { "cell_type": "code", diff --git a/trackinglosses_rad_length_endVelo.ipynb b/trackinglosses_rad_length_endVelo.ipynb index 0ed6969..9a2a2cb 100644 --- a/trackinglosses_rad_length_endVelo.ipynb +++ b/trackinglosses_rad_length_endVelo.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 55, + "execution_count": 43, "metadata": {}, "outputs": [], "source": [ @@ -19,7 +19,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 44, "metadata": {}, "outputs": [ { @@ -38,10 +38,12 @@ "\n", "# selektiere nur elektronen von B->K*ee\n", "allcolumns = file.arrays()\n", - "found = allcolumns[(allcolumns.isElectron) & (~allcolumns.lost) &\n", - " (allcolumns.fromB)] # B: 9056\n", - "lost = allcolumns[(allcolumns.isElectron) & (allcolumns.lost) &\n", - " (allcolumns.fromB)] # B: 1466\n", + "found = allcolumns[\n", + " (allcolumns.isElectron) & (~allcolumns.lost) & (allcolumns.fromB)\n", + "] # B: 9056\n", + "lost = allcolumns[\n", + " (allcolumns.isElectron) & (allcolumns.lost) & (allcolumns.fromB)\n", + "] # B: 1466\n", "\n", "electrons = allcolumns[(allcolumns.isElectron) & (allcolumns.fromB)]\n", "\n", @@ -52,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 45, "metadata": {}, "outputs": [ { @@ -75,7 +77,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 46, "metadata": {}, "outputs": [ { @@ -122,7 +124,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 47, "metadata": {}, "outputs": [ { @@ -179,9 +181,32 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 50, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameterisation for rad_length_frac:\n", + "intercept= 0.0\n", + "coef= {'1': 0.19436659767031483, 'x': -0.0002934072350452474, 'y': -0.00011050606423805956, 'tx': 0.22076931190684765, 'ty': 0.07813480395105185, 'qop': -11.837351954632934, 'x^2': -2.0111718729828063e-06, 'x y': 9.09756297060689e-06, 'x tx': -0.0071441555126283435, 'x ty': 0.01601317688273909, 'x qop': 0.6215416537184049, 'y^2': -6.877429438893236e-06, 'y tx': -0.03246512737106646, 'y ty': 0.009236443466565325, 'y qop': -0.7656982001003853, 'tx^2': 3.2721253340872036, 'tx ty': 6.990115604991107, 'tx qop': -728.51712427984, 'ty^2': -4.166569974702085, 'ty qop': 587.2224646668662, 'qop^2': 6.145749766573158, 'x^3': -1.6562683153707752e-07, 'x^2 y': -1.2001632657575304e-06, 'x^2 tx': 0.00040230376049067056, 'x^2 ty': -0.0003226579491818191, 'x^2 qop': 0.002985359658961018, 'x y^2': -5.185010866064232e-07, 'x y tx': 0.0029804615695217043, 'x y ty': 0.0012164498083769432, 'x y qop': 0.0029776397974184527, 'x tx^2': -0.3154073863149152, 'x tx ty': -0.4010820725541255, 'x tx qop': -2.1214929005307828, 'x ty^2': -0.6824284368708862, 'x ty qop': -14.944686049485084, 'x qop^2': -110.18157556408426, 'y^3': 2.4713398261155817e-07, 'y^2 tx': -8.884404196152218e-05, 'y^2 ty': -0.0005372353581591938, 'y^2 qop': -0.0036932151114263956, 'y tx^2': -1.5419692025080922, 'y tx ty': -0.11860718642094348, 'y tx qop': 11.982547200064268, 'y ty^2': 0.38784142586108383, 'y ty qop': 3.211190671760084, 'y qop^2': 46.063719746472096, 'tx^3': 79.89361864801454, 'tx^2 ty': 468.84573407547805, 'tx^2 qop': -100.98490043430814, 'tx ty^2': 186.00390862227553, 'tx ty qop': 7.2472113332685115, 'tx qop^2': 0.3801287848125358, 'ty^3': -92.81882058287101, 'ty^2 qop': 31.69467333269877, 'ty qop^2': 0.2896764307992765, 'qop^3': -0.004367926967413577, 'x^4': 4.0132150047611503e-08, 'x^3 y': -2.8422402209571374e-09, 'x^3 tx': -0.00012178298386800179, 'x^3 ty': -3.6970947007830546e-05, 'x^3 qop': -0.00037942687285408283, 'x^2 y^2': 7.386681488696922e-09, 'x^2 y tx': 4.123194972294186e-05, 'x^2 y ty': -5.2067299577629456e-05, 'x^2 y qop': 8.539712169408631e-06, 'x^2 tx^2': 0.1375456025515689, 'x^2 tx ty': 0.07276853278925399, 'x^2 tx qop': 0.5913446466084463, 'x^2 ty^2': 0.05481754041796982, 'x^2 ty qop': 0.12778897954363583, 'x^2 qop^2': 7.599038189537376, 'x y^3': 4.017000065914544e-09, 'x y^2 tx': 3.555973574975724e-05, 'x y^2 ty': 2.5015913422521407e-05, 'x y^2 qop': 0.0006923060020653793, 'x y tx^2': -0.0728178744632082, 'x y tx ty': -0.030849602066386872, 'x y tx qop': -0.053150965744121384, 'x y ty^2': -0.054271488256181, 'x y ty qop': -0.3845284787500334, 'x y qop^2': 3.5382762706451607, 'x tx^3': -68.2763499577661, 'x tx^2 ty': -35.09421296048657, 'x tx^2 qop': -209.5850008849592, 'x tx ty^2': -25.837301721685865, 'x tx ty qop': -72.99376890218326, 'x tx qop^2': -20.075729532656002, 'x ty^3': 24.168201409024896, 'x ty^2 qop': 77.70073016158322, 'x ty qop^2': -33.972956067372266, 'x qop^3': 4.163350823159558, 'y^4': 2.935763632194721e-09, 'y^3 tx': -3.516699649708244e-05, 'y^3 ty': -8.2068742131014e-06, 'y^3 qop': -1.523748721155016e-05, 'y^2 tx^2': -0.009411124024499173, 'y^2 tx ty': 0.06338416840865246, 'y^2 tx qop': -0.6891109275638628, 'y^2 ty^2': 0.008253872692153719, 'y^2 ty qop': 0.02346960416570875, 'y^2 qop^2': -0.4386626212085398, 'y tx^3': 32.94713780622537, 'y tx^2 ty': 19.368744361202825, 'y tx^2 qop': 17.426884247940652, 'y tx ty^2': -27.528264177777427, 'y tx ty qop': 341.8447125490805, 'y tx qop^2': -32.944204297917075, 'y ty^3': -3.4360959680136522, 'y ty^2 qop': -10.352300738708175, 'y ty qop^2': 79.19546293155958, 'y qop^3': 0.22012908047276727, 'tx^4': 12563.778412336536, 'tx^3 ty': 749.5755851917718, 'tx^3 qop': -9.94600150329609, 'tx^2 ty^2': 1299.398342139433, 'tx^2 ty qop': 0.1819109935589588, 'tx^2 qop^2': -0.05652058959156786, 'tx ty^3': 402.1468237499123, 'tx ty^2 qop': 0.5288025377553879, 'tx ty qop^2': -0.09503849406227534, 'tx qop^3': 0.005526136730138975, 'ty^4': 490.8007853758815, 'ty^3 qop': -0.032786661645227415, 'ty^2 qop^2': 0.21306953809390777, 'ty qop^3': 0.00041305791547802015, 'qop^4': 5.0463795291232325e-05}\n", + "r2 score= 0.052596793429776634\n", + "RMSE = 0.12333913500444761\n", + "\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "rad_length_frac = found[\"rad_length_frac\"]\n", "# @ z = 9400.mm or 770.mm\n", @@ -207,54 +232,15 @@ " \"tx\": slopex,\n", " \"ty\": slopey,\n", " \"qop\": qop,\n", - "})" - ] - }, - { - "cell_type": "code", - "execution_count": 61, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Parameterisation for rad_length_frac:\n", - "intercept= 0.0\n", - "coef= {'1': 0.19432666451166924, 'x': -0.00010136532791187516, 'y': -0.00022209404990607013, 'tx': 0.058480207541052064, 'ty': 0.18599542917589618, 'qop': -17.657405901936546, 'x^2': 1.2271024867047469e-05, 'x y': 5.376824972059055e-08, 'x tx': -0.025941371835257743, 'x ty': 0.014328015524776564, 'x qop': -0.38410998543244235, 'y^2': -1.8261507968709735e-05, 'y tx': -0.014951077113227147, 'y ty': 0.02154311538810164, 'y qop': -0.008987663050567057, 'tx^2': 9.180854607357592, 'tx ty': 0.1873064867954838, 'tx qop': -0.47120712928737807, 'ty^2': -6.787398610853974, 'ty qop': -0.05031041352613623, 'qop^2': 0.24778641944197533, 'x^3': -5.992321693190818e-09, 'x^2 y': -2.649404482539432e-07, 'x^2 tx': 5.42176741002125e-06, 'x^2 ty': 0.0020253771536145383, 'x^2 qop': 0.003955288970107154, 'x y^2': 2.8906882704270233e-09, 'x y tx': -0.0016493773782229844, 'x y ty': 0.0005067592007986898, 'x y qop': -0.0031813438496783404, 'x tx^2': 0.0022653308811514867, 'x tx ty': -1.5366360302916284, 'x tx qop': -0.47946313010450653, 'x ty^2': -0.16776305178984158, 'x ty qop': 2.1889500302073115, 'x qop^2': 0.008745243979922932, 'y^3': 1.4363120470761714e-08, 'y^2 tx': -0.0005062978553841023, 'y^2 ty': 1.4165440283044409e-05, 'y^2 qop': -0.005787147937546765, 'y tx^2': 1.404047645962725, 'y tx ty': 0.1643910546131908, 'y tx qop': 2.0452379823825813, 'y ty^2': -0.02140660574730952, 'y ty qop': 4.596387657867597, 'y qop^2': -0.00994088354226498, 'tx^3': -0.1303976515212055, 'tx^2 ty': -0.01339610187978276, 'tx^2 qop': -0.0009383144690666937, 'tx ty^2': 0.010330807276347866, 'tx ty qop': 0.00564141621903312, 'tx qop^2': 1.1663926820802422e-05, 'ty^3': 0.00629773549670367, 'ty^2 qop': 0.012052455601588194, 'ty qop^2': -1.60166284721317e-05, 'qop^3': -1.5639205966369518e-06, 'x^4': 1.4244960766518489e-09, 'x^3 y': -3.1096076824610464e-09, 'x^3 tx': -3.587531603760352e-06, 'x^3 ty': 2.4713133050052738e-05, 'x^3 qop': 2.5845963699160437e-05, 'x^2 y^2': -2.0323240867980985e-09, 'x^2 y tx': -1.781414931473213e-05, 'x^2 y ty': -1.0125741814137612e-05, 'x^2 y qop': 0.00010504795400130865, 'x^2 tx^2': 0.00318540624554603, 'x^2 tx ty': -0.019979832566411563, 'x^2 tx qop': 0.006687084675785277, 'x^2 ty^2': 0.01525871952521068, 'x^2 ty qop': 0.5999059816243137, 'x^2 qop^2': 8.117293800523118, 'x y^3': 7.45386197209541e-10, 'x y^2 tx': 1.539536253053475e-05, 'x y^2 ty': -1.089334137566178e-05, 'x y^2 qop': -1.95550966909791e-05, 'x y tx^2': 0.015033712066153922, 'x y tx ty': -0.02448056876178019, 'x y tx qop': -0.6716914089728931, 'x y ty^2': 0.007182752502229531, 'x y ty qop': -0.18936713869537714, 'x y qop^2': 3.611377836849899, 'x tx^3': -0.9115227647899486, 'x tx^2 ty': 0.8829467327098821, 'x tx^2 qop': 0.2695607767961495, 'x tx ty^2': 0.6012451073716732, 'x tx ty qop': -0.00930712726835479, 'x tx qop^2': 0.009680202136377838, 'x ty^3': -0.06079594416933904, 'x ty^2 qop': 0.04029084967629493, 'x ty qop^2': 0.004774793771381167, 'x qop^3': -4.554461348017879e-05, 'y^4': 4.04032363121587e-12, 'y^3 tx': 8.925743423537913e-06, 'y^3 ty': -1.0182095510069544e-06, 'y^3 qop': -2.928516988854517e-05, 'y^2 tx^2': 0.004743417924369025, 'y^2 tx ty': -0.0055290127765494496, 'y^2 tx qop': 0.2133121554871387, 'y^2 ty^2': 0.0017685009285896116, 'y^2 ty qop': 0.020383665461783013, 'y^2 qop^2': -0.90657292007639, 'y tx^3': 0.27175992018246475, 'y tx^2 ty': 0.6761073293647273, 'y tx^2 qop': -0.01248506771745212, 'y tx ty^2': -0.39076013367696105, 'y tx ty qop': 0.04349449144257623, 'y tx qop^2': 0.004752914013263597, 'y ty^3': -0.729116504589348, 'y ty^2 qop': -0.015043560943011547, 'y ty qop^2': -0.001547809754472937, 'y qop^3': -1.316621299355546e-05, 'tx^4': -0.003228436324482351, 'tx^3 ty': 0.0044775047770867545, 'tx^3 qop': 0.001098230908109032, 'tx^2 ty^2': 0.0029303145639830285, 'tx^2 ty qop': -4.337425914757845e-05, 'tx^2 qop^2': 1.134299372765626e-05, 'tx ty^3': -0.0014086661449565522, 'tx ty^2 qop': 0.0001660768862220596, 'tx ty qop^2': 6.3521706353330705e-06, 'tx qop^3': -5.1281203369915226e-08, 'ty^4': -0.0071021220988862245, 'ty^3 qop': -6.713410801676869e-05, 'ty^2 qop^2': -2.7595247487299285e-06, 'ty qop^3': -1.972159538523153e-08, 'qop^4': 3.222747801976328e-10, 'x^5': -3.2453151277422876e-11, 'x^4 y': -7.538414337204813e-13, 'x^4 tx': 9.439335535432747e-08, 'x^4 ty': 1.5053041968471348e-07, 'x^4 qop': 2.0621745686622006e-06, 'x^3 y^2': -6.107114813858061e-12, 'x^3 y tx': -1.4186378294311908e-07, 'x^3 y ty': 9.335861888004615e-07, 'x^3 y qop': 4.389303884896889e-06, 'x^3 tx^2': -0.00010056331721829473, 'x^3 tx ty': -0.000368816675172811, 'x^3 tx qop': -0.0031371932512015794, 'x^3 ty^2': -0.0006215843383633401, 'x^3 ty qop': -0.0040682949745989485, 'x^3 qop^2': -0.01783210821802376, 'x^2 y^3': -2.1280754936015e-12, 'x^2 y^2 tx': -9.287590581052996e-07, 'x^2 y^2 ty': -4.159245552415314e-07, 'x^2 y^2 qop': -3.762232883230965e-06, 'x^2 y tx^2': 0.0003560931930516667, 'x^2 y tx ty': -0.00014974182212146823, 'x^2 y tx qop': -0.002168783048351754, 'x^2 y ty^2': 0.0005557263565684947, 'x^2 y ty qop': -0.0027368181509398255, 'x^2 y qop^2': -0.021251765155328187, 'x^2 tx^3': 0.04636097936049924, 'x^2 tx^2 ty': 0.19264721978393362, 'x^2 tx^2 qop': 1.1201214250508411, 'x^2 tx ty^2': 0.2717131602944406, 'x^2 tx ty qop': 1.0069243735131281, 'x^2 tx qop^2': 0.0017781753799746996, 'x^2 ty^3': -0.17716467804753896, 'x^2 ty^2 qop': -0.7967627886628681, 'x^2 ty qop^2': -0.020752836202331357, 'x^2 qop^3': -0.0003102149541338055, 'x y^4': -3.716849050761084e-11, 'x y^3 tx': 4.2096182362172385e-07, 'x y^3 ty': 9.343710843934261e-08, 'x y^3 qop': -4.85417695898771e-06, 'x y^2 tx^2': 0.0007723490259714336, 'x y^2 tx ty': -0.000465174042059667, 'x y^2 tx qop': 0.0083072051829175, 'x y^2 ty^2': -0.0001514875700367028, 'x y^2 ty qop': 0.0033210944559410355, 'x y^2 qop^2': -0.0016097785846472324, 'x y tx^3': -0.18644890104309755, 'x y tx^2 ty': -0.04212197105444866, 'x y tx^2 qop': 1.0626013948995083, 'x y tx ty^2': 0.09950829907042329, 'x y tx ty qop': -0.7011822284857461, 'x y tx qop^2': -0.02153879411999937, 'x y ty^3': 0.07920758108734982, 'x y ty^2 qop': -1.3677505196768507, 'x y ty qop^2': 0.005572049947548557, 'x y qop^3': 0.0003625259165958029, 'x tx^4': -7.806580145878633, 'x tx^3 ty': -0.48543671938056426, 'x tx^3 qop': 0.01223464815691587, 'x tx^2 ty^2': -0.7759844557140754, 'x tx^2 ty qop': 0.004830189695310542, 'x tx^2 qop^2': 6.943806457826217e-06, 'x tx ty^3': -0.2626842333297885, 'x tx ty^2 qop': -0.002218311914437031, 'x tx ty qop^2': -5.935445430100284e-05, 'x tx qop^3': -4.652385512477656e-07, 'x ty^4': -0.13391527053501218, 'x ty^3 qop': -0.004907072655857102, 'x ty^2 qop^2': 1.6619362532345914e-05, 'x ty qop^3': 8.142368541762968e-07, 'x qop^4': 4.653376619669799e-09, 'y^5': 3.825384453648439e-12, 'y^4 tx': -4.679158727149968e-10, 'y^4 ty': -5.908476596871992e-09, 'y^4 qop': 2.1690478767266708e-08, 'y^3 tx^2': -9.496214334184586e-05, 'y^3 tx ty': 7.42067773199526e-05, 'y^3 tx qop': 0.004042069781436391, 'y^3 ty^2': 1.3648094370263125e-06, 'y^3 ty qop': -9.095584346929984e-05, 'y^3 qop^2': 0.0026650743754950902, 'y^2 tx^3': -0.22830126100028328, 'y^2 tx^2 ty': 0.07976968562385643, 'y^2 tx^2 qop': -0.569375473311322, 'y^2 tx ty^2': -0.05752462027849215, 'y^2 tx ty qop': -1.3821142344540522, 'y^2 tx qop^2': 0.0030041051075548795, 'y^2 ty^3': 0.0007092199317686958, 'y^2 ty^2 qop': 0.08213843039582976, 'y^2 ty qop^2': -0.009533342523832138, 'y^2 qop^3': -4.410702217968634e-05, 'y tx^4': -0.4617640318570093, 'y tx^3 ty': -0.7726015660797079, 'y tx^3 qop': 0.004989400779050441, 'y tx^2 ty^2': -0.2543425991684884, 'y tx^2 ty qop': -0.001971807200332014, 'y tx^2 qop^2': -6.047144105356334e-05, 'y tx ty^3': -0.14996432803062354, 'y tx ty^2 qop': -0.00494485016520198, 'y tx ty qop^2': 1.250565568496303e-05, 'y tx qop^3': 7.906173456988411e-07, 'y ty^4': 0.023264047526106668, 'y ty^3 qop': 0.0014038996016424031, 'y ty^2 qop^2': -2.8280611787753928e-05, 'y ty qop^3': 3.0725068466100624e-07, 'y qop^4': -4.09432863754477e-09, 'tx^5': -0.052446331725343374, 'tx^4 ty': -0.0031642363210890884, 'tx^4 qop': 5.831594421042545e-05, 'tx^3 ty^2': -0.005193740457310502, 'tx^3 ty qop': 1.5211405438268112e-05, 'tx^3 qop^2': 7.987434860389955e-09, 'tx^2 ty^3': -0.0017266713029734364, 'tx^2 ty^2 qop': -3.2665518364513855e-06, 'tx^2 ty qop^2': -1.2886641260179494e-07, 'tx^2 qop^3': -7.431322766916425e-10, 'tx ty^4': -0.0009711418007784676, 'tx ty^3 qop': -1.1566774851255521e-05, 'tx ty^2 qop^2': 3.07405227672554e-08, 'tx ty qop^3': 1.5258831556369568e-09, 'tx qop^4': 6.567772758657935e-12, 'ty^5': 0.00011456709116180268, 'ty^4 qop': 6.736678103390532e-06, 'ty^3 qop^2': -6.391677860197088e-08, 'ty^2 qop^3': 8.915568061124554e-10, 'ty qop^4': -6.626331897050053e-12, 'qop^5': -2.2660425734485018e-13}\n", - "r2 score= 0.04993524171391073\n", - "RMSE = 0.12351226258714283\n", - "Type \n" - ] - } - ], - "source": [ + "})\n", "lin_reg, features, xx0_test, xx0_predicted = fit_linear_regression_model(\n", " data,\n", " \"rad_length_frac\",\n", " [\"x\", \"y\", \"tx\", \"ty\", \"qop\"],\n", - " 5,\n", + " 4,\n", " include_bias=True,\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 62, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.hist(\n", + " xx0_test,\n", + " bins=100,\n", + " density=True,\n", + " alpha=0.5,\n", + " color=\"darkorange\",\n", + " histtype=\"bar\",\n", + " label=\"test\",\n", + " range=[0, 1],\n", + ")\n", + "plt.hist(\n", + " xx0_predicted,\n", + " bins=100,\n", + " density=True,\n", + " alpha=0.5,\n", + " color=\"blue\",\n", + " histtype=\"bar\",\n", + " label=\"predicted\",\n", + " range=[0, 1],\n", + ")\n", + "plt.xlim(0, 1)\n", + "# plt.yscale(\"log\")\n", + "plt.title(\"radiation length fraction endVelo\")\n", + "plt.xlabel(f\"$x/X_0$\")\n", + "plt.ylabel(\"a.u.\")\n", + "\n", + "plt.legend()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Parameterisation for rad_length_frac:\n", + "intercept= 0.0\n", + "coef= {'1': 0.24562140630345797, 'x': -0.0006147519300623754, 'y': 0.00013149294035773212, 'tx': 0.40993139584024857, 'ty': -0.17613130993997955, 'qop': -2.431621847221756, 'x^2': -2.537929422256502e-05, 'x y': 1.6503609236837168e-05, 'x tx': 0.014114349319941343, 'x ty': -0.015914217992780068, 'x qop': -0.3138750804691517, 'y^2': 8.004082295422125e-06, 'y tx': -0.0007103518977325451, 'y ty': -0.012102735170731998, 'y qop': -0.01613366131755978, 'tx^2': -1.1805199392607937, 'tx ty': 2.630285174738731, 'tx qop': 0.2259863956524285, 'ty^2': -0.9000770143303645, 'ty qop': 0.035317808178541486, 'qop^2': 0.506257028947111, 'x^3': -1.054613771280784e-06, 'x^2 y': -7.542919321773425e-07, 'x^2 tx': 0.0016046817739745617, 'x^2 ty': 0.0041420285105903745, 'x^2 qop': 0.021289920901612722, 'x y^2': 1.6630958165414549e-06, 'x y tx': -0.0029322410866066016, 'x y ty': 0.00026646565396820643, 'x y qop': 0.008117926325135527, 'x tx^2': -0.6007987905052633, 'x tx ty': -2.98887506065023, 'x tx qop': -13.962516223136573, 'x ty^2': -0.8388571705095013, 'x ty qop': -3.036359977877559, 'x qop^2': 0.055324587199241985, 'y^3': -8.030979246897996e-08, 'y^2 tx': -0.002767856037518542, 'y^2 ty': 0.00010106006074174414, 'y^2 qop': 0.0087584836303898, 'y tx^2': 2.52086358169213, 'y tx ty': 1.771954217213756, 'y tx qop': -3.4960101511969945, 'y ty^2': -0.02778479572722497, 'y ty qop': -8.306825049361231, 'y qop^2': 0.011633837171348742, 'tx^3': -0.1376005395953692, 'tx^2 ty': 0.08788148993360365, 'tx^2 qop': -0.03627295634145932, 'tx ty^2': 0.03876102551307681, 'tx ty qop': -0.008986008881728739, 'tx qop^2': 9.888031370307247e-05, 'ty^3': -0.3359335900376418, 'ty^2 qop': -0.02333508540052829, 'ty qop^2': 9.573184641700597e-06, 'qop^3': -4.597612275351735e-06, 'x^4': -6.108581640518196e-09, 'x^3 y': -6.564809273967853e-08, 'x^3 tx': 1.5150502404637223e-05, 'x^3 ty': 3.104184179880676e-05, 'x^3 qop': 8.671096332828199e-05, 'x^2 y^2': -7.650740829062697e-09, 'x^2 y tx': 0.00011735105575993998, 'x^2 y ty': -3.2175113096499786e-05, 'x^2 y qop': 6.774919445144169e-05, 'x^2 tx^2': -0.011724689654149013, 'x^2 tx ty': -0.043137944250594654, 'x^2 tx qop': -0.0234816944437721, 'x^2 ty^2': -0.015910369617829878, 'x^2 ty qop': 0.47749147066068204, 'x^2 qop^2': 10.59413029512916, 'x y^3': 3.234245482541809e-08, 'x y^2 tx': 5.3043264426122505e-05, 'x y^2 ty': -5.8168920071072217e-05, 'x y^2 qop': -0.00018640913107006996, 'x y tx^2': -0.06797789037420698, 'x y tx ty': 0.044976962291121, 'x y tx qop': -0.5074481714386293, 'x y ty^2': 0.03709689469083238, 'x y ty qop': 0.42061549746065124, 'x y qop^2': 5.878761197856953, 'x tx^3': 2.928172660629093, 'x tx^2 ty': 15.518053547545511, 'x tx^2 qop': -0.4179045108625407, 'x tx ty^2': 2.863496001226073, 'x tx ty qop': 0.03316794782068423, 'x tx qop^2': 0.011365298564370092, 'x ty^3': -8.111988620415804, 'x ty^2 qop': -0.21644263264392571, 'x ty qop^2': 0.00843273298050687, 'x qop^3': -0.00016877332507871679, 'y^4': 6.023639254060242e-09, 'y^3 tx': -1.594750695611824e-05, 'y^3 ty': -1.437326358022517e-05, 'y^3 qop': -2.1442523502287515e-05, 'y^2 tx^2': -0.04753636763140216, 'y^2 tx ty': 0.018902432682699272, 'y^2 tx qop': -0.31014755455483073, 'y^2 ty^2': 0.011363729381750311, 'y^2 ty qop': 0.01681916414935703, 'y^2 qop^2': -5.242995516210874, 'y tx^3': 12.07113658017565, 'y tx^2 ty': 2.5063182953688687, 'y tx^2 qop': 0.05008258889078114, 'y tx ty^2': -5.840846904263012, 'y tx ty qop': -0.2222888950764648, 'y tx qop^2': 0.008403354774191822, 'y ty^3': -2.8576703684113554, 'y ty^2 qop': 0.156828601288708, 'y ty qop^2': -0.010489395507591974, 'y qop^3': 1.6753570524717795e-05, 'tx^4': -0.01910867380555672, 'tx^3 ty': 0.0837123623190646, 'tx^3 qop': -0.0014826028602247271, 'tx^2 ty^2': 0.0015368291104171875, 'tx^2 ty qop': 8.478961198550636e-05, 'tx^2 qop^2': 1.2316906385746789e-05, 'tx ty^3': -0.0271004544137963, 'tx ty^2 qop': -0.0008124467158542836, 'tx ty qop^2': 1.1953538675306295e-05, 'tx qop^3': -1.6561432689863052e-07, 'ty^4': -0.051346978654440316, 'ty^3 qop': 0.0005598437003601672, 'ty^2 qop^2': -1.8064704330828996e-05, 'ty qop^3': 3.8598127279103275e-08, 'qop^4': 3.326704284195817e-08, 'x^5': 6.821222753305989e-11, 'x^4 y': 2.526661102564276e-10, 'x^4 tx': -1.251389993850438e-07, 'x^4 ty': 3.4387986458384034e-08, 'x^4 qop': 8.496537125812775e-06, 'x^3 y^2': 5.454374729652045e-10, 'x^3 y tx': -5.823518507419578e-07, 'x^3 y ty': 1.573480655436832e-06, 'x^3 y qop': 1.1149119954367848e-05, 'x^3 tx^2': 7.080646439604904e-05, 'x^3 tx ty': -0.00019832304528768704, 'x^3 tx qop': -0.013548718492619474, 'x^3 ty^2': -0.0011831441371068785, 'x^3 ty qop': -0.007475115795384159, 'x^3 qop^2': -0.05297421345055594, 'x^2 y^3': -3.0988589472258354e-10, 'x^2 y^2 tx': -2.827730114507432e-06, 'x^2 y^2 ty': 3.25980575599516e-06, 'x^2 y^2 qop': -1.1472914959842484e-05, 'x^2 y tx^2': 0.0005880138985921626, 'x^2 y tx ty': -0.00028281256289024864, 'x^2 y tx qop': -0.011299091385256742, 'x^2 y ty^2': -0.0028883860783337767, 'x^2 y ty qop': 0.015857147862434813, 'x^2 y qop^2': -0.13581771520502617, 'x^2 tx^3': -0.011192107550488224, 'x^2 tx^2 ty': 0.12486137523256921, 'x^2 tx^2 qop': 5.225482032478654, 'x^2 tx ty^2': 0.7550762571921301, 'x^2 tx ty qop': 3.755310333424372, 'x^2 tx qop^2': 0.03529628798503831, 'x^2 ty^3': 0.0680249197813556, 'x^2 ty^2 qop': -2.149779516970109, 'x^2 ty qop^2': -0.10043851798514322, 'x^2 qop^3': -0.008357891977863841, 'x y^4': -3.010369731271112e-10, 'x y^3 tx': -2.5632317350865463e-06, 'x y^3 ty': -1.5046913748317792e-06, 'x y^3 qop': -7.480400594950254e-06, 'x y^2 tx^2': 0.0024216018281754056, 'x y^2 tx ty': 0.0007084178707292381, 'x y^2 tx qop': 0.00044348353393648763, 'x y^2 ty^2': 0.0026684932410411567, 'x y^2 ty qop': 0.004142697700575095, 'x y^2 qop^2': 0.04019255202302588, 'x y tx^3': -0.21609228057090962, 'x y tx^2 ty': -0.39898880238968853, 'x y tx^2 qop': 3.716497181247638, 'x y tx ty^2': 1.7005468399990162, 'x y tx ty qop': -1.6246665305727963, 'x y tx qop^2': -0.10861921254973068, 'x y ty^3': -1.0206195922719212, 'x y ty^2 qop': -2.2538410252773176, 'x y ty qop^2': 0.12471546683983396, 'x y qop^3': 0.0010355202027286007, 'x tx^4': -0.38054051948182677, 'x tx^3 ty': 0.02811376405424165, 'x tx^3 qop': 0.024914607795988558, 'x tx^2 ty^2': -0.2390526017685849, 'x tx^2 ty qop': 0.016195442265039908, 'x tx^2 qop^2': -7.88453042343562e-06, 'x tx ty^3': 0.15152568889899992, 'x tx ty^2 qop': -0.008761905989985623, 'x tx ty qop^2': -0.00028476668103488885, 'x tx qop^3': -1.3992733945114136e-05, 'x ty^4': -0.17984996125743222, 'x ty^3 qop': -0.010938588150706838, 'x ty^2 qop^2': 0.00028736668746421283, 'x ty qop^3': 1.0017755372740274e-06, 'x qop^4': 5.647205119564429e-08, 'y^5': 2.2355894913062002e-11, 'y^4 tx': 2.1532131875279248e-06, 'y^4 ty': -4.644247597607176e-08, 'y^4 qop': -6.709499208279457e-06, 'y^3 tx^2': 0.0016621305979105314, 'y^3 tx ty': -0.003130496631703698, 'y^3 tx qop': 0.0073473064465471, 'y^3 ty^2': 3.1438102391929956e-05, 'y^3 ty qop': 0.009790096490369568, 'y^3 qop^2': 0.007755101347045138, 'y^2 tx^3': -0.5967738984072392, 'y^2 tx^2 ty': -1.6414346613041646, 'y^2 tx^2 qop': -1.9221000353689144, 'y^2 tx ty^2': 1.1296103381428921, 'y^2 tx ty qop': -2.0138360070431838, 'y^2 tx qop^2': 0.10014966880153775, 'y^2 ty^3': -0.006765532531283773, 'y^2 ty^2 qop': -3.489466677603648, 'y^2 ty qop^2': -0.15818840693723135, 'y^2 qop^3': -0.006154290860857408, 'y tx^4': 0.06713941420974948, 'y tx^3 ty': -0.18765968488942172, 'y tx^3 qop': 0.01494671954085084, 'y tx^2 ty^2': 0.02688242692225791, 'y tx^2 ty qop': -0.008806488292543392, 'y tx^2 qop^2': -0.0002890003079734742, 'y tx ty^3': 0.0560088747156591, 'y tx ty^2 qop': -0.0091269069301046, 'y tx ty qop^2': 0.0002557631704771736, 'y tx qop^3': 9.13083085488923e-07, 'y ty^4': -0.11308027221966196, 'y ty^3 qop': -0.015522487055330275, 'y ty^2 qop^2': -0.0004358549211642052, 'y ty qop^3': -9.99916544547057e-06, 'y qop^4': -1.583944618976334e-08, 'tx^5': -0.0039057973828551464, 'tx^4 ty': 0.0011021677966443968, 'tx^4 qop': 8.364509298284483e-05, 'tx^3 ty^2': -0.0019793041595461795, 'tx^3 ty qop': 4.1168080154112314e-05, 'tx^3 qop^2': -2.463097953215033e-07, 'tx^2 ty^3': 0.0007208243773861416, 'tx^2 ty^2 qop': -2.5859488653297416e-05, 'tx^2 ty qop^2': -5.822330221226121e-07, 'tx^2 qop^3': -2.1963163726583706e-08, 'tx ty^4': 0.00020328501105408336, 'tx ty^3 qop': -2.7986469931730596e-05, 'tx ty^2 qop^2': 4.5313369723243955e-07, 'tx ty qop^3': 6.464504187809654e-10, 'tx qop^4': 9.133899373812518e-11, 'ty^5': -0.0025485559385795883, 'ty^4 qop': -5.08771174897897e-05, 'ty^3 qop^2': -9.412302186542877e-07, 'ty^2 qop^3': -1.55479697478695e-08, 'ty qop^4': -1.861631536431087e-11, 'qop^5': -1.2879922620235152e-12}\n", + "r2 score= 0.013501590753704495\n", + "RMSE = 0.2590497099709809\n", + "\n" + ] + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rad_length_frac = lost[\"rad_length_frac\"]\n", + "# @ z = 9400.mm or 770.mm\n", + "state = 1\n", + "\n", + "if state == 1:\n", + " slopex = lost[\"ideal_state_770_tx\"]\n", + " slopey = lost[\"ideal_state_770_ty\"]\n", + " x = lost[\"ideal_state_770_x\"]\n", + " y = lost[\"ideal_state_770_y\"]\n", + " qop = lost[\"ideal_state_770_qop\"]\n", + "elif state == 2:\n", + " slopex = lost[\"ideal_state_9410_tx\"]\n", + " slopey = lost[\"ideal_state_9410_ty\"]\n", + " x = lost[\"ideal_state_9410_x\"]\n", + " y = lost[\"ideal_state_9410_y\"]\n", + " qop = lost[\"ideal_state_9410_qop\"]\n", + "\n", + "data = ak.zip(\n", + " {\n", + " \"rad_length_frac\": rad_length_frac,\n", + " \"x\": x,\n", + " \"y\": y,\n", + " \"tx\": slopex,\n", + " \"ty\": slopey,\n", + " \"qop\": qop,\n", + " }\n", + ")\n", + "lin_reg, features, xx0_test, xx0_predicted = fit_linear_regression_model(\n", + " data,\n", + " \"rad_length_frac\",\n", + " [\"x\", \"y\", \"tx\", \"ty\", \"qop\"],\n", + " 5,\n", + " include_bias=True,\n", + ")\n", + "\n", + "nbins = 100\n", + "vmax = 50\n", + "\n", + "a0 = plt.hist2d(\n", + " xx0_test,\n", + " xx0_predicted,\n", + " density=False,\n", + " bins=nbins,\n", + " cmap=plt.cm.jet,\n", + " cmin=1,\n", + " vmax=vmax * stretch_factor,\n", + " range=[[-0.1, 1.0], [-0.1, 1.0]],\n", + ")\n", + "plt.plot([-0.1, 1.0], [-0.1, 1.0], marker=\"\", alpha=0.8)\n", + "plt.xlabel(f\"True $x/X_0$\")\n", + "plt.ylabel(f\"Predicted $x/X_0$\")\n", + "plt.title(f\"lost rad_length_frac\")\n", + "# ax1.set(xlim=(0,4000), ylim=(-1000,1000))\n", + "\n", + "plt.colorbar(a0[3])\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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+       " nan,\n",
+       " nan,\n",
+       " nan]\n",
+       "-----------------\n",
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" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "endT_x = lost[np.isnan(lost.ideal_state_9410_x)][\"ideal_state_9410_x\"]\n", + "endT_x" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, { "cell_type": "code", "execution_count": null,